Pith Number

pith:XWIHALAZ

pith:2007:XWIHALAZSIREOBYXZ4PR3ZC2JW

not attested not anchored not stored refs pending

Infrared Gluon and Ghost Propagators

Marco Frasca

arxiv:0709.2042 v6 · 2007-09-13 · hep-th · hep-lat · hep-ph · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWIHALAZSIREOBYXZ4PR3ZC2JW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Quintessence Dark Energy from non-perturbative Higgs-Yang-Mills mass gap

Receipt and verification

First computed	2026-07-04T15:33:57.741768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd90702c199222470717cf1f1de45a4d8a72931952423cc5ca822aeac2525fa0

Aliases

arxiv: 0709.2042 · arxiv_version: 0709.2042v6 · doi: 10.48550/arxiv.0709.2042 · pith_short_12: XWIHALAZSIRE · pith_short_16: XWIHALAZSIREOBYX · pith_short_8: XWIHALAZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XWIHALAZSIREOBYXZ4PR3ZC2JW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bd90702c199222470717cf1f1de45a4d8a72931952423cc5ca822aeac2525fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f53cc412e3928acd4490744c59bcee6d866d0fd9690111844100f72c85df46",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2007-09-13T11:01:57Z",
    "title_canon_sha256": "df465e6a7e73c5e5021ad02bd327054c476acaacda322f78e23ce79103e8d6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2042",
    "kind": "arxiv",
    "version": 6
  }
}